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» A Separator Theorem for String Graphs and its Applications
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CPC
2010
116views more  CPC 2010»
13 years 2 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
13 years 9 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas
JCO
2006
128views more  JCO 2006»
13 years 5 months ago
A combinatorial theorem on labeling squares with points and its application
In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squar...
Binhai Zhu, Minghui Jiang
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 5 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
APPML
2007
101views more  APPML 2007»
13 years 5 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay